Distant retrograde orbits and its bifurcations in Earth-Moon system

被引：0
|
作者：
Chen G. [1 ,2 ]
Yang C. [1 ,2 ]
Zhang C. [1 ]
Zhang H. [1 ]
机构：
[1] Key Laboratory of Space Utilization, Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences, Beijing
[2] University of Chinese Academy of Sciences, Beijing
来源：
Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics | 2022年 / 48卷 / 12期
关键词：
bifurcation; distant retrograde orbit; multi-period orbit; numerical continuation; orbital stability;
D O I：
10.13700/j.bh.1001-5965.2020.0608
中图分类号：
学科分类号：
摘要：
There exists a type of stable retrograde orbit around the Moon called distant retrograde orbit (DRO) in the Earth-Moon system. The circular restricted three-body problem (CR3BP) is taken as the dynamical model to study the dynamical structure around DRO. It is possible to determine the bifurcation point and type using Broucke’s stability diagram. The numerical continuation method is used to calculate several new orbital branches. Tangent and multi-period bifurcations are the two primary forms of DRO bifurcations (starting from period tripling). New orbit families include planar orbits and 3D orbits. The characteristics of the new orbit family are discussed, including shape, period, energy, stability, hyperbolic manifold structure. The relationship between orbital period and energy is discussed. The bifurcation structure and the hyperbolic manifold structure of multi-periodic orbits are presented geometrically. The dynamic structure will provide theoretical support for the mission based on DRO families. © 2022 Beijing University of Aeronautics and Astronautics (BUAA). All rights reserved.
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页码：2576 / 2588
页数：12
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